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Microstructure of strongly sheared suspensions and its impact on rheology and diffusion

Brady, John F. and Morris, Jeffrey F. (1997) Microstructure of strongly sheared suspensions and its impact on rheology and diffusion. Journal of Fluid Mechanics, 348 . pp. 103-139. ISSN 0022-1120. http://resolver.caltech.edu/CaltechAUTHORS:BRAjfm97

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Abstract

The effects of Brownian motion alone and in combination with an interparticle force of hard-sphere type upon the particle configuration in a strongly sheared suspension are analysed. In the limit Pe[rightward arrow][infty infinity] under the influence of hydrodynamic interactions alone, the pair-distribution function of a dilute suspension of spheres has symmetry properties that yield a Newtonian constitutive behaviour and a zero self-diffusivity. Here, Pe=[gamma][ogonek]a2/2D is the Péclet number with [gamma][ogonek] the shear rate, a the particle radius, and D the diffusivity of an isolated particle. Brownian diffusion at large Pe gives rise to an O(aPe[minus sign]1) thin boundary layer at contact in which the effects of Brownian diffusion and advection balance, and the pair-distribution function is asymmetric within the boundary layer with a contact value of O(Pe0.78) in pure-straining motion; non-Newtonian effects, which scale as the product of the contact value and the O(a3Pe[minus sign]1) layer volume, vanish as Pe[minus sign]0.22 as Pe[rightward arrow][infty infinity].


Item Type:Article
Additional Information:"Reprinted with the permission of Cambridge University Press." (Received August 7 1996) (Revised February 19 1997) This work was supported in part by grant No. CTS-9420415 from the National Science Foundation and by grant No. N00014-95-1-0423 from the Office of Naval Research. The authors wish to thank Francis Gadala-Maria for providing figure 2. J.F.B. wishes to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge University, for their hospitality during the writing of this paper.
Subject Keywords:CONCENTRATED COLLOIDAL DISPERSIONS; DILUTE POLYDISPERSE SYSTEM; BROWNIAN SUSPENSIONS; NUMERICAL-SIMULATION; SPHERICAL-PARTICLES; INTERACTING SPHERES; STOKESIAN DYNAMICS; SELF-DIFFUSION; SOLID SPHERES; BULK STRESS
Record Number:CaltechAUTHORS:BRAjfm97
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:BRAjfm97
Alternative URL:http://www.journals.cambridge.org/action/displayAbstract?fromPage=online&aid=13669
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ID Code:1582
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:01 Feb 2006
Last Modified:26 Dec 2012 08:45

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